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Sur la théorie de Hida pour le groupe ${GSp}_{2 g}$

Vincent Pilloni — 2012

Bulletin de la Société Mathématique de France

Nous construisons des familles ordinaires $p$ -adiques de formes modulaires pour le groupe ${GSp}_{2 g}$ . Notre travail généralise et précise des travaux antérieurs de Hida.

Overconvergent modular forms

Vincent Pilloni — 2013

Annales de l’institut Fourier

We give a geometric definition of overconvergent modular forms of any $p$ -adic weight. As an application, we reprove Coleman’s theory of $p$ -adic families of modular forms and reconstruct the eigencurve of Coleman and Mazur without using the Eisenstein family.

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Sur la théorie de Hida pour le groupe GSp 2 g

Overconvergent modular forms

Sur la théorie de Hida pour le groupe ${GSp}_{2 g}$